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Finding the Third Proportional to 624,463,955,493 and 842,548,500,411

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Solution

The third proportional to 624,463,955,493 and 842,548,500,411 is: 1,136,795,757,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,463,955,493 : 842,548,500,411 = 842,548,500,411 : x
  2. Step 2: Convert to fraction form
    624,463,955,493/842,548,500,411 = 842,548,500,411/x
  3. Step 3: Cross multiply
    624,463,955,493x = 842,548,500,411 × 842,548,500,411
  4. Step 4: Simplify right side
    624,463,955,493x = 709,887,975,544,824,845,565,952
  5. Step 5: Solve for x
    x = 709,887,975,544,824,845,565,952/624,463,955,493
  6. Step 6: Final answer
    x = 1,136,795,757,866.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.